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**limit problem from past exam. :(**

## Homework Statement

Problem from an exam that I just did is really bugging me.

lim(x,y)->(0,0) (x*y

^{2})/(x

^{2}+y

^{4})

The attempt at a solution[/b]

At first I thought the limit didn't exist. I tried using paths, x=y

^{1/2}, but then I couldn't find a counter example for which a path approached at a different point. So then I tried using the squeeze theorem, and got that the limit is 0. :\

Was my approach to the problem correct? is the limit really 0?

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